12-1 3D Coordinate Systems.sagews

var('x', 'y', 'z')

point3d([(1, 2, 3), (3, 1, 2), (2, 5, 4)], color="green", size = 10)

3D rendering not yet implemented

# 15
implicit_plot3d(x^2 + y^2 + z^2 - 2*x - 4*y + 8*z == 15, (x, -10, 10), (y, -10, 10), (z, -10, 10))

# 44
var('r', 't')
P1 = parametric_plot3d((r * cos(t), r * sin(t), 0), (r, 0, 1), (t, 0, 2*pi))
P2 = parametric_plot3d((r * cos(t), r * sin(t), r * cos(t) + 1), (r, 0, 1), (t, 0, 2*pi))
P3 = parametric_plot3d((cos(t), sin(t), z * (cos(t) + 1)), (t, 0, 2*pi), (z, 0, 1))
show(P1+P2+P3)

︠583c6bb5-59c4-4bd8-90b9-9a23f936908d︠
# 44, take 2
P1 = parametric_plot3d((r * cos(t), r * sin(t), 0), (r, 0, 1), (t, 0, 2*pi))
P2 = parametric_plot3d((r * cos(t), r * sin(t), 2 - 2 * r * cos(t)), (r, 0, 1), (t, -pi/2, pi/2))
P3 = parametric_plot3d((r * cos(t), r * sin(t), 2 + 2 * r * cos(t)), (r, 0, 1), (t, pi/2, 3*pi/2))
P4 = parametric_plot3d((cos(t), sin(t), z * (2 - 2 * cos(t))), (t, -pi/2, pi/2), (z, 0, 1))
P5 = parametric_plot3d((cos(t), sin(t), z * (2 + 2 * cos(t))), (t, pi/2, 3*pi/2), (z, 0, 1))
show(P1+P2+P3+P4+P5)